General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory
General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory
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扭量理论视角下的一般施莱辛格系统及其对称性
DOI：
10.1080/14029251.2013.862441
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发表时间：
2013
影响因子：
0.7
通讯作者：
Damiran Tseveenamijil
中科院分区：
文献类型：
--
作者：
Hironobu Kimura;Damiran Tseveenamijil
从扭量理论的角度考虑ℙ1上具有规则和不规则奇点的线性微分方程的等单形变形。我们使用格拉斯曼流形上的一般超几何函数理论中出现的最大阿贝尔子群 HofG= GLN+1(ℂ) 给出了等单向变形的显式形式。该公式使我们能够获得非线性系统的一组对称性，即 Weyl 群类似物 NG(H)/H。
Isomonodromic deformation of linear differential equations on ℙ1with regular and irregular singular points is considered from the view point of twistor theory. We give explicit form of isomonodromic deformation using the maximal abelian subgroupHofG= GLN+1(ℂ) which appeared in the theory of general hypergeometric functions on a Grassmannian manifold. This formulation enables us to obtain a group of symmetry for the nonlinear system which is an Weyl group analogueNG(H)/H.